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Finding the Fourth Proportional to 327,542.98, 490,527.14 and 186,875.14

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Solution

The fourth proportional to 327,542.98, 490,527.14 and 186,875.14 is: 279,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,542.98 : 490,527.14 = 186,875.14 : x
  2. Step 2: Convert to fraction form
    327,542.98/490,527.14 = 186,875.14/x
  3. Step 3: Cross multiply
    327,542.98x = 490,527.14 × 186,875.14
  4. Step 4: Simplify right side
    327,542.98x = 91,667,327,961.30
  5. Step 5: Solve for x
    x = 91,667,327,961.30/327,542.98
  6. Step 6: Final answer
    x = 279,863.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.